Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is3.0accidents per 100,000 flight operations.

(a) Letr= number of accidents for a given number of operations.

Explain why the Poisson distribution would be a good choice for the probability distribution ofr.

a- Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent.

b- Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent.

c- Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent.

d- Frequency of accidents is a common occurrence. It is reasonable to assume the events are independent.

(b) Find the probability of no accidents in 100,000 flight operations. (Use 4 decimal places.) (c) Find the probability of at least4accidents in230,000flight operations. (Use 4 decimal places.)